Technical Glossary / Fibonacci & Gann Tools
Gann Square of Nine
A spiral number grid Gann used to relate a price to other prices by rotations around the square.
Formula
Numbers spiral out from 1 at the centre. A full rotation is 360 degrees. The cardinal cross and the ordinal cross are the cells on the vertical, horizontal, and diagonal axes. A commonly used conversion places a price P at an angle and reads a candidate price at a chosen rotation, but published formulas differ. There is no single agreed equation. Treat any calculator as one convention, and say which one.
Definition
The Square of Nine is a square of integers wound in a spiral. Gann and later interpreters read support and resistance by moving a chosen number of degrees around the spiral from a significant price. A 180-degree move is the opposite cell. A 360-degree move is a full turn, which on the spiral lands on a number related to the starting price by the geometry of the square. The tool is numerological in structure. It can be used with discipline, the way any fixed transformation of a price can, and it has no independent link to the order book. Prices derived from it matter, if they matter, because traders mark them or because they accidentally match a real level.
How it works
Pick a significant price, a major high or low, and compute one or two rotations with a stated convention. Then look at the chart. If the candidate is near an obvious swing, the swing is the level and the square has restated it. If the candidate sits in empty space, it is a hypothesis, not a hidden pivot. Do not average several conflicting Square of Nine calculators. Disagreement among them is a sign the method is under-specified, not a sign you need all of the outputs. Time can be run through the same spiral in the same loose tradition. That adds another free choice. Freeze the choices in a journal if you want the tool to be testable.
How traders use it
The only robust use is as a source of candidate prices that you then accept or reject with ordinary structure. A Square of Nine level that coincides with a weekly high and a volume node is a weekly high and a volume node. You may keep the square in your notes. You should not size a trade off the spiral when the chart disagrees. If you cannot explain the rotation to another trader in one sentence, you do not have a rule you can follow under pressure.
Common mistakes
Treating the square as a calculator of future prices. It transforms an input. Also shopping across 45, 90, 180, and 360 degree outputs, and across three anchor prices, until one print is close to the market. That search will succeed. It is not confirmation. And mixing the Square of Nine with several Gann angles and several Fibonacci ratios into one "confluence" score. You have counted drawings.
Limitations
Because the public method is not fully specified, two serious Gann students will generate different prices from the same high. A method that does not converge is not ready to be a primary signal. The square also ignores volatility, so a one-point rotation means something entirely different on a 20-rupee stock and a 20,000-point index. Any scaling you add is your own, and it needs its own test.
This note explains the term. A sketch shows the shape of the idea. Neither is a recommendation, a signal, or a comment on any security. Indicator settings and exchange conventions differ. Check the live chart and the contract specification before you use a number.